What is the Greatest Common Factor of 69213 and 69231?

Greatest common factor (GCF) of 69213 and 69231 is 3.

GCF(69213,69231) = 3

We will now calculate the prime factors of 69213 and 69231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69213 and 69231.

How to find the GCF of 69213 and 69231?

We will first find the prime factorization of 69213 and 69231. After we will calculate the factors of 69213 and 69231 and find the biggest common factor number .

Step-1: Prime Factorization of 69213

Prime factors of 69213 are 3, 23071. Prime factorization of 69213 in exponential form is:

69213 = 3¹ × 23071¹

Step-2: Prime Factorization of 69231

Prime factors of 69231 are 3, 47, 491. Prime factorization of 69231 in exponential form is:

69231 = 3¹ × 47¹ × 491¹

Step-3: Factors of 69213

List of positive integer factors of 69213 that divides 69213 without a remainder.

1, 3, 23071

Step-4: Factors of 69231

List of positive integer factors of 69231 that divides 69213 without a remainder.

1, 3, 47, 141, 491, 1473, 23077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69213 and 69231. The biggest common factor number is the GCF number.
So the greatest common factor 69213 and 69231 is 3.

Also check out the Least Common Multiple of 69213 and 69231